Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study

doi:10.1007/s10483-021-2681-9

Abstract

Abstract: The heat transfer and entropy generation characteristics of the magnetohydrodynamic Casson fluid flow through an inclined microchannel with convective boundary conditions are analyzed. Further, the effects of the viscous forces, Joule heating, heat source/sink, and radiation on the flow are taken into account. The non-dimensional transformations are used to solve the governing equations. Then, the reduced system is resolved by the fourth-fifth order Runge-Kutta-Fehlberg method along with the shooting technique. The effects of different physical parameters on the heat transfer and entropy generation are discussed in detail through graphs. From the perspective of numerical results, it is recognized that the production of entropy can be improved with the Joule heating, viscous dissipation, and convective heating aspects. It is concluded that the production of entropy is the maximum with increases in the Casson parameter, the angle of inclination, and the Hartmann number. Both the Reynolds number and the radiation parameter cause the dual impact on entropy generation.

Key words: inclined channel, Casson fluid, magnetism, radiation, entropy generation, Bejan number

2010 MSC Number:

76B75

A. ROJA, B. J. GIREESHA, B. NAGARAJA. Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study. Applied Mathematics and Mechanics (English Edition), 2021, 42(1): 95-108.

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References

[1] BEJAN, A. Entropy Generation Minimization:the Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes, CRC Press, New York, 71-104(1995)
[2] MAHMUD, S. and FRASER, R. A. Thermodynamic analysis of flow and heat transfer inside channel with two parallel plates. Exergy, An International Journal, 2(3), 140-146(2002)
[3] HADDAD, O., ABUZAIDA, M., and AL-NIMR, M. Entropy generation due to laminar incompressible forced convection flow through parallel plates microchannel. Entropy, 6(5), 413-426(2004)
[4] HAVZALI, M., ARIKOGLU, A., KOMURGOZ, G., KESER, H. I., and OZKOL, I. Analyticalnumerical analysis of entropy generation for gravity-driven inclined channel flow with initial transition and entrance effects. Physica Scripta, 78(4), 045401(2008)
[5] ERBAY, L. B., YALCIN, M. M., and ERCAN, M. S. Entropy generation in parallel plate microchannels. Heat and Mass Transfer, 43, 849(2007)
[6] BUTT, A. S., MUNAWAR, S., ALI, A., and MEHMOOD, A. Entropy generation in hydrodynamic slip flow over a vertical plate with convective boundary. Journal of Mechanical Science and Technology, 26, 2977-2984(2012)
[7] CHINYOKA, T. and MAKINDE, O. D. Analysis of entropy generation rate in an unsteady porous channel flow with Navier slip and convective cooling. Entropy, 15(6), 2081-2099(2013)
[8] YANG, Y. T., WANG, Y. H., and HUANG, B. Y. Numerical optimization for nanofluid flow in microchannel using entropy generation minimization. Numerical Heat Transfer, Part A:Application, 67, 571-588(2015)
[9] SLIMI, K. and SAATI, A. A. Entropy generation rate due to radiative transfer within a vertical channel filled with a semi-transparent porous medium. Arabian Journal of Science and Engineering, 37, 803-820(2012)
[10] DAS, S. and JANA, R. N. Entropy generation in MHD porous channel flow under constant pressure gradient. Applied Mathematical Physics, 1, 78-89(2013)
[11] ABBASZADEH, M., ABABAEI, A., ARANI, A. A. A., and SHARIFABADI, A. A. MHD forced convection and entropy generation of CuO-water nanofluid in a microchannel considering slip velocity and temperature jump. Journal of Brazilian Society of Mechanical Science and Engineering, 39, 775-790(2017)
[12] UDDIN, M. J., BEG, O. A., and ISMAIL, A. I. Radiative convective nanofluid flow past a stretching/shrinking sheet with slip effects. Journal of Thermophysical Heat Transfer, 29, 513-523(2015)
[13] SHAW, S., KAMESWARAN, P. K., and SIBANDA, P. Effects of slip on nonlinear convection in nanofluid flow on stretching surfaces. Boundary Value Problems (2016) https://10.1186/s13661-015-0506-2
[14] LOPEZ, A., IBANEZ, G., PANTOJA, J., MOREIRA, J., and LASTRES, O. Entropy generation analysis of MHD nanofluid flow in a porous vertical microchannel with nonlinear thermal radiation, slip flow and convective-radiative boundary conditions. Journal of Heat and Mass Transfer, 107, 982-994(2017)
[15] KHAN, M. I., WAQAS, M., HAYAT, T., and ALSAEDI, A. Colloidal study of Casson fluid with homogeneous-heterogeneous reactions. Journal of Colloid and Interface Science, 498(2017) http://dx.doi.org/10.1016/j.jcis.2017.03.024
[16] VYAS, P. and SONI, S. Entropy analysis for MHD Casson fluid flow in a channel subjected to weakly temperature dependent convection and hydrodynamic slip. Journal of Rajasthan Academy of Physical Sciences, 15(1), 1-18(2016)
[17] NG, C. O. Combined pressure-driven and electroosmotic flow of Casson fluid through a slit microchannel. Journal of Non-Newtonian Fluid Mechanics, 198, 1-9(2013)
[18] EEGUNJOBI, A. S. and MAKINDE, O. D. MHD mixed convection slip flow of radiation Casson fluid with entropy generation in a channel filled with porous media. Defect and Diffusion Forum, 374, 47-66(2017)
[19] PASSOS, A. D., CHATZIELEFTHERIOU, V. A., MOUZA, A. A., and PARAS, S. V. Casson fluid flow in a microchannel containing a flow disturbing rib. Chemical Engineering Science, 148, 229-237(2016)
[20] MAKINDE, O. D. and EEGUNJOBI, A. S. Entropy analysis of thermally radiating magnetohydrodynamic slip flow of Casson fluid in a microchannel filled with saturated porous media. Journal of Porous Media, 19, 799-810(2016)
[21] SHASHIKUMAR, N. S., ARCHANA, M., PRASANNAKUMARA, B. C., GIREESHA, B. J., and MAKINDE, O. D. Effects of nonlinear thermal radiation and second order slip on Casson nanofluid flow between parallel plates. Defect and Diffusion Forum, 377, 84-94(2017)
[22] DAS, S., SARKAR, S., and JANA, R. N. Entropy generation analysis of MHD slip flow of nonNewtonian Cu-Casson nanofluid in a porous microchannel filled with saturated porous medium considering thermal radiation. Journal of Nanofluids, 7(6), 1217-1232(2018)
[23] SHASHIKUMAR, N. S., PRASANNAKUMARA, B. C., GIREESHA, B. J., and MAKINDE, O. D. Thermodynamics analysis of MHD Casson fluid slip flow in a porous micro channel with thermal radiation. Diffusion Foundations, 16, 120-139(2019)